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Finding the Third Proportional to 866,506 and 1,347,012

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Solution

The third proportional to 866,506 and 1,347,012 is: 2,093,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,506 : 1,347,012 = 1,347,012 : x
  2. Step 2: Convert to fraction form
    866,506/1,347,012 = 1,347,012/x
  3. Step 3: Cross multiply
    866,506x = 1,347,012 × 1,347,012
  4. Step 4: Simplify right side
    866,506x = 1,814,441,328,144
  5. Step 5: Solve for x
    x = 1,814,441,328,144/866,506
  6. Step 6: Final answer
    x = 2,093,974.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.